Search a number
-
+
146145648 = 243114143157
BaseRepresentation
bin10001011011000…
…00000101110000
3101011222222010210
420231200011300
5244403130043
622300224120
73423134415
oct1055400560
9334888123
10146145648
117554a430
1240b3b040
132437c71c
14155a410c
15cc6c633
hex8b60170

146145648 has 160 divisors (see below), whose sum is σ = 434472192. Its totient is φ = 41932800.

The previous prime is 146145641. The next prime is 146145661. The reversal of 146145648 is 846541641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146145641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930786 + ... + 930942.

Almost surely, 2146145648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146145648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217236096).

146145648 is an abundant number, since it is smaller than the sum of its proper divisors (288326544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146145648 is a wasteful number, since it uses less digits than its factorization.

146145648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 146145648 is about 12089.0714283604. The cubic root of 146145648 is about 526.7387826972.

The spelling of 146145648 in words is "one hundred forty-six million, one hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 43 44 48 66 82 86 88 123 129 132 157 164 172 176 246 258 264 314 328 344 451 471 473 492 516 528 628 656 688 902 942 946 984 1032 1256 1353 1419 1727 1763 1804 1884 1892 1968 2064 2512 2706 2838 3454 3526 3608 3768 3784 5181 5289 5412 5676 6437 6751 6908 7052 7216 7536 7568 10362 10578 10824 11352 12874 13502 13816 14104 19311 19393 20253 20724 21156 21648 22704 25748 27004 27632 28208 38622 38786 40506 41448 42312 51496 54008 58179 70807 74261 77244 77572 81012 82896 84624 102992 108016 116358 141614 148522 154488 155144 162024 212421 222783 232716 276791 283228 297044 308976 310288 324048 424842 445566 465432 553582 566456 594088 830373 849684 891132 930864 1107164 1132912 1188176 1660746 1699368 1782264 2214328 3044701 3321492 3398736 3564528 4428656 6089402 6642984 9134103 12178804 13285968 18268206 24357608 36536412 48715216 73072824 146145648